Abstract

The stability analysis of constant-coefficient linear systems is extended to systems with periodically-varying coefficients. Although this theory is mathematically well-understood, little work has been done regarding its application to physical problems. All previous results are based on asymptotic analysis. A review of the theory of parametrically-forced linear systems will be presented, followed by a detailed stability analysis of a pendulum with a harmonically moving base.

Library of Congress Subject Headings

Linear systems; Stability; Differential equations

Publication Date

1994

Document Type

Thesis

Department, Program, or Center

Mechanical Engineering (KGCOE)

Advisor

Torok, J.

Comments

Note: imported from RIT’s Digital Media Library running on DSpace to RIT Scholar Works. Physical copy available through RIT's The Wallace Library at: QA402.L42 1994

Campus

RIT – Main Campus

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